Digital Logic Design: Combinational Logic Functions Quiz

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Questions and Answers

What are the binary outputs of a half-adder given inputs A=1 and B=1?

  • Carry out = 1, Sum = 0 (correct)
  • Carry out = 0, Sum = 1
  • Carry out = 1, Sum = 1
  • Carry out = 0, Sum = 0

What are the binary outputs of a half-adder given inputs A=0 and B=1?

  • Carry out = 1, Sum = 0
  • Carry out = 1, Sum = 1
  • Carry out = 0, Sum = 0
  • Carry out = 0, Sum = 1 (correct)

How many binary inputs does a full adder have?

  • 1
  • 2
  • 3 (correct)
  • 4

What are the binary outputs of a full adder given inputs A=1, B=1, and Carry in=1?

<p>Carry out = 1, Sum = 1 (D)</p> Signup and view all the answers

What is the result of binary addition for the inputs A=1 and B=1 using a half-adder?

<p>$10_2$ (A)</p> Signup and view all the answers

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Study Notes

Half-Adder Outputs

  • For inputs A=1 and B=1, the half-adder produces a sum output of 0 and a carry output of 1.
  • For inputs A=0 and B=1, the half-adder generates a sum output of 1 and a carry output of 0.
  • Half-adders are designed to perform addition of two binary digits without carry input.

Full-Adder Inputs and Outputs

  • A full adder has three binary inputs: two significant bits (A and B) and a carry input (C).
  • Given inputs A=1, B=1, and Carry in=1, the full adder produces a sum output of 1 and a carry output of 1.
  • Full adders allow for transfer of carry from previous sums, enabling multi-bit binary addition.

Binary Addition with Half-Adder

  • The result of binary addition for inputs A=1 and B=1 using a half-adder results in a sum of 0 with a carry of 1, indicating the need to handle overflow in binary addition.

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